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Simplifying 17t + 80 + -16.2t = 4t + -3.2 + 80 Reorder the terms: 80 + 17t + -16.2t = 4t + -3.2 + 80 Combine like terms: 17t + -16.2t = 0.8t 80 + 0.8t = 4t + -3.2 + 80 Reorder the terms: 80 + 0.8t = -3.2 + 80 + 4t Combine like terms: -3.2 + 80 = 76.8 80 + 0.8t = 76.8 + 4t Solving 80 + 0.8t = 76.8 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 80 + 0.8t + -4t = 76.8 + 4t + -4t Combine like terms: 0.8t + -4t = -3.2t 80 + -3.2t = 76.8 + 4t + -4t Combine like terms: 4t + -4t = 0 80 + -3.2t = 76.8 + 0 80 + -3.2t = 76.8 Add '-80' to each side of the equation. 80 + -80 + -3.2t = 76.8 + -80 Combine like terms: 80 + -80 = 0 0 + -3.2t = 76.8 + -80 -3.2t = 76.8 + -80 Combine like terms: 76.8 + -80 = -3.2 -3.2t = -3.2 Divide each side by '-3.2'. t = 1 Simplifying t = 1
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